Find the limit if it exists. (If an answer does not exist, enter DNE.) lim sin (x)

Q: Evaluate using Theorem as necessary.

A: Given limit: limt→0 t3+9sin tt We can write the above limit as limt→0 t3+9sin tt=limt→0 t3+9×limt→0…

Q: b. lim cos(x)-1 x2

A:

Q: Find the limit. lim X→∞ lim X→∞ sin 2x 18x sin 2x 18x = (Simplify your answer.)

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.